from numpy import *
zData = array([ 3.52941176,  3.59477124,  3.66013072,  3.7254902 ,  3.79084967,
        3.85620915,  3.92156863,  3.9869281 ,  4.05228758,  4.11764706,
        4.18300654,  4.24836601,  4.31372549,  4.37908497,  4.44444444,
        4.50980392,  4.5751634 ,  4.64052288,  4.70588235,  4.77124183,
        4.83660131,  4.90196078,  4.96732026,  5.03267974,  5.09803922,
        5.16339869,  5.22875817,  5.29411765,  5.35947712,  5.4248366 ,
        5.49019608,  5.55555556,  5.62091503,  5.68627451,  5.75163399,
        5.81699346,  5.88235294,  5.94771242,  6.0130719 ,  6.07843137,
        6.14379085,  6.20915033,  6.2745098 ,  6.33986928,  6.40522876,
        6.47058824,  6.53594771,  6.60130719,  6.66666667,  6.73202614,
        6.79738562,  6.8627451 ,  6.92810458,  6.99346405,  7.05882353,
        7.12418301,  7.18954248,  7.25490196,  7.32026144,  7.38562092,
        7.45098039,  7.51633987,  7.58169935,  7.64705882,  7.7124183 ,
        7.77777778,  7.84313725,  7.90849673,  7.97385621,  8.03921569,
        8.10457516,  8.16993464,  8.23529412,  8.30065359,  8.36601307,
        8.43137255,  8.49673203,  8.5620915 ,  8.62745098,  8.69281046,
        8.75816993,  8.82352941,  8.88888889,  8.95424837,  9.01960784,
        9.08496732,  9.1503268 ,  9.21568627,  9.28104575])
alphasData = array([ 0.48263892,  0.46847054,  0.4714874 ,  0.48591509,  0.51040552,
        0.53598067,  0.56267706,  0.58498049,  0.59977145,  0.60031748,
        0.58624166,  0.56174173,  0.53426057,  0.509705  ,  0.4888078 ,
        0.47488575,  0.47056246,  0.47782834,  0.49626801,  0.5220363 ,
        0.55238025,  0.57959657,  0.59706194,  0.60093558,  0.58978187,
        0.56732025,  0.53939856,  0.51287378,  0.49160912,  0.47659931,
        0.47082288,  0.47597072,  0.48967621,  0.50997356,  0.53468984,
        0.55999317,  0.57936371,  0.58755166,  0.58160276,  0.56252973,
        0.53565769,  0.50642531,  0.47788285,  0.45327503,  0.43469023,
        0.4241803 ,  0.42192684,  0.42522825,  0.43212707,  0.44008254,
        0.44588751,  0.44609598,  0.43696043,  0.41704543,  0.38752244,
        0.35152491,  0.31195843,  0.27101325,  0.23126672,  0.19514984,
        0.16476607,  0.14068565,  0.12230224,  0.10880492,  0.09960851,
        0.093693  ,  0.08953243,  0.08574063,  0.08152004,  0.07667357,
        0.07136525,  0.06566864,  0.05953419,  0.05305107,  0.04657345,
        0.04032142,  0.0344654 ,  0.02907076,  0.02417128,  0.01982746,
        0.0160577 ,  0.01286564,  0.01019103,  0.00795038,  0.00610958,
        0.00460882,  0.00340616,  0.00247664,  0.00175582])
usData = array([  1.07462110e-04,   1.26205960e-04,   1.47497370e-04,
         1.70129840e-04,   1.86680820e-04,   2.01446680e-04,
         2.13428880e-04,   2.22665280e-04,   2.30917490e-04,
         2.40678240e-04,   2.53443320e-04,   2.71736160e-04,
         2.96803020e-04,   3.26814780e-04,   3.63950050e-04,
         4.11257000e-04,   4.72387450e-04,   5.46002430e-04,
         6.22925620e-04,   6.97583130e-04,   7.60001890e-04,
         8.14887830e-04,   8.64321370e-04,   9.12915780e-04,
         9.64978730e-04,   1.03418030e-03,   1.12773390e-03,
         1.25234990e-03,   1.41705290e-03,   1.63887100e-03,
         1.92007160e-03,   2.24635510e-03,   2.60995630e-03,
         2.98971530e-03,   3.36057250e-03,   3.70791050e-03,
         4.03985670e-03,   4.36419490e-03,   4.70595160e-03,
         5.11372630e-03,   5.64977940e-03,   6.38736670e-03,
         7.45033160e-03,   8.90824820e-03,   1.08317940e-02,
         1.32052020e-02,   1.58711930e-02,   1.86987040e-02,
         2.15250530e-02,   2.42468160e-02,   2.68823280e-02,
         2.94905600e-02,   3.22606120e-02,   3.54093570e-02,
         3.91735500e-02,   4.38063460e-02,   4.96400070e-02,
         5.72566630e-02,   6.75188460e-02,   8.12809790e-02,
         9.91832700e-02,   1.21347990e-01,   1.47153590e-01,
         1.75209750e-01,   2.02625300e-01,   2.26903470e-01,
         2.47706280e-01,   2.65891120e-01,   2.82542580e-01,
         2.97899630e-01,   3.11397220e-01,   3.23170270e-01,
         3.33744990e-01,   3.43704690e-01,   3.52772910e-01,
         3.60953170e-01,   3.68383250e-01,   3.75238750e-01,
         3.81481910e-01,   3.87145810e-01,   3.92382070e-01,
         3.97223500e-01,   4.01420850e-01,   4.05337610e-01,
         4.09274530e-01,   4.13408550e-01,   4.17189150e-01,
         4.20424550e-01,   4.23344050e-01])
